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Finding the Fourth Proportional to 537.24, 808.32 and 320.96

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Solution

The fourth proportional to 537.24, 808.32 and 320.96 is: 482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 808.32 = 320.96 : x
  2. Step 2: Convert to fraction form
    537.24/808.32 = 320.96/x
  3. Step 3: Cross multiply
    537.24x = 808.32 × 320.96
  4. Step 4: Simplify right side
    537.24x = 259,438.39
  5. Step 5: Solve for x
    x = 259,438.39/537.24
  6. Step 6: Final answer
    x = 482.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.